Theses

1. Castillo-Ramirez, A. (2014), On Majorana Algebras and Representations, PhD Thesis, 

Imperial College London. Supervisor: Alexander A. Ivanov.

2. Castillo-Ramirez, A. (2010), Involutions and Transvections of the Projective Special Linear Group L3(3), MSc Thesis, 

Imperial College London. Supervisor: Alexander A. Ivanov.

Papers under review

1. Castillo-Ramirez, A., Magaña-Chavez, M. G.: A study on the composition of elementary cellular automata (Preprint).

2. Castillo-Ramirez, A., Magaña-Chavez, M. G, Veliz-Quintero, E.: Idempotent cellular automata and their natural order (Preprint).

3. Castillo-Ramirez, A., Veliz-Quintero, E.: On the minimal memory set of cellular automata (Preprint). 

Research papers

1. Castillo-Ramirez, A., De los Santos Baños, L. (2024): Further results on generalized cellular automata,

Communications in Algebra, 52.6, 2475–2488 (Preprint / Free eprint).

2. Castillo-Ramirez, A.,  Sanchez-Alvarez, M., Vazquez-Aceves, A., Zaldivar-Corichi, A. (2023): A generalization of cellular automata over groups,

Communications in Algebra, 51.7 , 3114-3123 (Preprint / Free eprint).

3. Castillo-Ramirez, A., Ruiz-Medina, R. H. (2023): The relative rank of the endomorphism monoid of a finite G-set, 

Semigroup Forum, 106, 51-66 (Preprint / Read-only free version).

4. Castillo-Ramirez, A. (2022): Generating infinite monoids of cellular automata, 

Journal of Algebra and its Applications, 21, No. 11, 2250215 (Preprint). 

5. Castillo-Ramirez, A., Sanchez-Alvarez, M. (2022): The number of configurations in the full shift with a given least period, 

Bulletin of the Iranian Mathematical Society, 48, 1859-1868 (Preprint / Read-only free version).

6. Castillo-Ramirez, A, Mata-Gutiérrez, O., Zaldivar-Corichi, A. (2022): Cellular automata over algebraic structures, 

Glasgow Mathematical Journal, 64 (2), 306-319 (Preprint).

7. Castillo-Ramirez, A. (2022), On the minimal number of generators of endomorphism monoids of full shifts, 

Natural Computing, 21, 31-38 (Preprint / Read-only free version).

8. Castillo-Ramirez, A., McInroy, J. (2021) Miyamoto groups of code algebras, 

Journal of Pure and Applied Algebra,  225, no. 6, 1-23 (Preprint). 

9. Castillo-Ramirez, A., Gadouleau, M. (2020), Elementary, Finite and Linear vN-Regular Cellular Automata, 

Information and Computation, 274, 104533, 1-12 (Preprint).

10. Bridoux, F., Castillo-Ramirez, A., Gadouleau, M. (2020), Complete Simulation of Automata Networks, 

Journal of Computer and System Sciences, 109, 1-21 (Preprint).

11. Castillo-Ramirez, A., McInroy, J. (2019), Code algebras which are axial algebras and their Z2- gradings, 

Israel Journal of Mathematics, 233, no. 1, 401-438 (Preprint / Read-only free version).

12. Castillo-Ramirez, A., McInroy, J., Rehren, F. (2019), Code algebras, axial algebras and VOAs, 

Journal of Algebra, 518, 146-176 (Preprint).

13. Castillo-Ramirez, A., Gadouleau, M. (2019), Cellular Automata and Finite Groups, 

Natural Computing, 18, no. 3, 445-458 (Preprint / Read-only free version).

14. Castillo-Ramirez, A., Sanchez-Alvarez, M. (2019), Bounding the minimal number of generators of groups of cellular automata, 

Lecture Notes in Computer Sciences, 11525, Cellular Automata and Discrete Complex Systems, AUTOMATA 2019, 48-61 (Preprint).

15. Cameron, P.J., Castillo-Ramirez, A., Gadouleau, M., Mitchell, J.D. (2017), Lengths of words in transformation semigroups generated by digraphs, 

Journal of Algebraic Combinatorics, 45, no. 1, 149-170 (Preprint).

16. Castillo-Ramirez, A., Gadouleau, M. (2017), Von Neumann Regular Cellular Automata, 

Lecture Notes in Computer Sciences, 10248, Cellular Automata and Discrete Complex Systems, AUTOMATA 2017, 44-55 (Preprint).

17. Castillo-Ramirez, A., Gadouleau, M. (2016), Ranks of finite semigroups of one-dimensional cellular automata, 

Semigroup Forum, 93, no. 2, 347-362 (Preprint).

18. Castillo-Ramirez, A., Elduque, A. (2016), Some special features of Cayley algebras, and G2, in low characteristics, 

Jorunal of Pure and Applied Algebra, 220, no. 3, 1188-1205 (Preprint).

19. Castillo-Ramirez, A., Gadouleau, M. (2016), On Finite Monoids of Cellular Automata, 

Lecture Notes in Computer Sciences, 9664, Cellular Automata and Discrete Complex Systems, AUTOMATA 2016, 90-104 (Preprint).

20. Castillo-Ramirez, A. (2015), Associative subalgebras of low-dimensional Majorana algebras, 

Journal of Algebra, 421, 159-188 (Preprint).

21. Castillo-Ramirez, A., Ivanov, A.A. (2014), The Axes of a Majorana Representation of A12, 

Springer Proceedings in Mathematics and Statistics, 82, Groups of Exceptional Type, Coexeter Groups and Related Geometries, 159-188  (Preprint).

22. Castillo-Ramirez, A. (2013), Idempotents of the Norton-Sakuma algebras, 

Journal of Group Theory, 16, no. 3, 419-444.

Edited volumes

1. Castillo-Ramirez, A., de Oliveira P. (Guest Eds.), Special Issue AUTOMATA 2019, 

Natural Computing 21 (2022) (View-Only Preface). 

2. Castillo-Ramirez, A., Guillon P., Perrot, K. (Eds.), 27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems: AUTOMATA 2021, July 12-14, 2021, Aix-Marseille University, France,  

OpenAccess Series in Informatics 90, Dagstuhl Publishing, Germany, 2021. ISBN: 978-3-95977-189-4.

3. Castillo-Ramirez, A., de Oliveira P. (Eds.), Cellular Automata and Discrete Complex Systems: 25th IFIP WG 1.5 International Workshop, AUTOMATA 2019, Guadalajara, Mexico, June 26–28, 2019, Proceedings, 

Lectures Notes in Computer Science 11525, Springer International Publishing, 2019. ISBN: 978-3-030-20980-3. 

Teaching Publications (in Spanish)

ARTICLES

1. A. Castillo-Ramirez, A. Diamanti, Una breve introducción a los grupos de simetría molecular. 

Miscelánea Matemática, Sociedad Matemática Mexicana, Vol. 77 (2023) 1-15. http://doi.org/10.47234/mm.7701 

2. A. Castillo-Ramirez, Una generalización de los autómatas celulares, 

Esmos 49, Benemérita Universidad Autónoma de Puebla, (2023). http://doi.org/10.5281/zenodo.8264337

3. A. Castillo-Ramirez, I. Romo, María P. Suárez, Funciones booleanas, bases de Gröbner y cuasigrupos, 

Miscelánea Matemática, Sociedad Matemática Mexicana, Vol.  74 (2022) 59-77.

4. A. Castillo-Ramirez, J. M. Márquez Bobadilla, M. P. Suárez Fernández, Campos finitos, bases de Gröbner y teoría de códigos, en 

Métodos matemáticos y problemas de la física matemática, Puertabierta Editores, 2019. ISBN: 978-607-8640-55-3.

5. A. Castillo-Ramirez, Autómatas celulares y grupos finitos, CuceiEsCiencia, 10/09/2019.

6. A. Castillo-Ramírez, A. M. Hernández-Magdaleno, J. M. Márquez Bobadilla, Álgebra, Topología y Autómatas Celulares, 2018 (Preprint). 

7. A. Castillo-Ramírez, Técnicas de conteo, 2018 (Preprint). 

8. A. Castillo-Ramirez, Los últimos veinte años en la teoría de grupos finitos, en A. Castillo Pérez y M. J. Durón González (Coord.) 

La Electrónica y las Ciencias Computacionales en los Últimos Veinte Años, pp. 52–63, Colección Monografías de la Academia, Editorial Universitaria, Centro Universiario de Ciencias Exactas e Ingenierías, Universidad de Guadalajara, 2015. ISBN: 978-607-742-313-3.

9. A. Castillo-Ramirez, Teoría de representaciones de grupos, 2011 (Preprint). 

BOOKS

1. F. Becerra Lopez, A. Castillo-Ramirez, A. M. Hernandez Magdaleno, O. Mata Gutierrez, Teoría de Espacios Vectoriales, 

Publicaciones Electrónicas de la Sociedad Matemática Mexicana, Serie Textos, Vol. 24, 2023. ISBN: 978-607-8008-17-9.

2. A. Castillo-Ramirez, Un curso en teoría de grupos, Publicaciones Electrónicas, 

Publicaciones Electrónicas de la Sociedad Matemática Mexicana, Serie Textos, Vol. 23, 2021.  ISBN: 978-607-8008-16-2.

3. A. Castillo Perez, A. Castillo-Ramirez, E. L. Cruz Garcia and A. M. Hernandez Magdaleno, Conjuntos y Números, 

Editorial Universitaria, Universidad de Guadalajara, 2014. ISBN: 978-607-742-088-0. (E-book).

4. A. Castillo-Ramirez and A. M. Hernandez-Magdaleno, Álgebra Moderna: Anillos y Campos, 

Editorial Universitaria, Universidad de Guadalajara, 2012. ISBN: 978-607-450-495-8. (E-book).